MATH 4318
Analysis I
Spring 2018
TR 121:15 Skiles 254
INSTRUCTOR

Stavros Garoufalidis

Room 105, Skiles

Telephone: 4048946614

email

Office hours: Wed 3:304:30 or by appointment.
GRADER
TEXTBOOK

Maxwell Rosenlicht, Introduction to Analysis, Dover publications.
COURSE DESCRIPTION
We plan to give a selfcontained course in analysis, covering chapters 7on
of the book. The goal of the course, aside from analysis, is to
learn what is a mathematical proof, and how to present it.
For more details, see
here .
WHAT IS A PROOF?
See
a note by Chris Heil.
PREREQUISITES
MATH 4317.
HOMEWORK
Homework will be due on Tuesdays, collected in the beginning of the class,
and returned back to you the following Tuesday. I will not be assuming that
you know how to think, write and present a mathematical proof, but achieving
this by the end of the semester, will be an important gain for the class.
You are welcomed to work together, but please write down your homework
separately . Please staple your homework, and write clearly, each
problem on a new page. The two lowest homework grades will be dropped. Any
missed homework will be counted as zero.
MIDTERMEXAMS
There are two inclass midterm exams on Thursday February 22 and March 29.
I do not accept makeup exams unless there is a serious documented reason.
FINAL EXAM
Conflict in final exams means having 3 final exams in the same day. In that
case, you can reschedule the one in the middle. In case of a final exam
conflict, I need a two week advance notice to accomodate your
request.
ATTENDANCE
Although attendance is not mandatory, you are strongly encouraged to attend.
Students who do not attend
the lectures statistically do below averageand usually end up with a C or
lower grade. Attendance is an important part of learning. During the
lectures, you should turn all powered devices (especially phones, laptops,
music players) off.
GRADES
The final course grade will be calculated according to the
following scheme:

Homework : 15 %

Midterm : 2 x 25 %

Final Exam : 35 %
If the average course grade (out of 100) is
 at least 80, then you will get an A,
 at least 70, then you will get a B or A,
 at least 60, then you will get a C, B or A,
 at least 50, then you will get a D, C, B or A,
 if your final exam grade is less than 40, then you will
get an F.
ACADEMIC HONOR CODE
All students are required to review and accept the Honor Code
of Georgia Tech, which may be found
here.

You are not allowed to use calculators, formula sheets, notes or texts
during the midterms and final exams.

Identification is required in taking tests.
ACADEMIC CALENDAR

January 8, first day of class.

January 15, School Holiday.

February 22, Midterm I.

March 14, Last day to withdraw with W.

March 1923, Spring Break.

March 29, Midterm II.

April 24, Last Day of Classes.

April 30, Mon 11:302:20 final exam.

May 7 (Monday), Grades due.
HOMEWORK ASSIGNEMENTS

Homework 1 Due Tuesday Jan 23 in the beginning of the class.
Chapter VII, Problems 1,2,3,4,5.

Homework 2 Due Tuesday Jan 30 in the beginning of the class.
Chapter VII, Problems 6,8,9,10,11,13.

Homework 3 Due Tuesday Feb 6 in the beginning of the class.
Chapter VII, Problems 15,18,20,24,26.

Homework 4 Due Tuesday Feb 13 in the beginning of the class.
Chapter VII, Problems 28 (compute their first derivatives only),30,31,33.

Homework 5 Due Tuesday Feb 20 in the beginning of the class.
Chapter VII, Problems 34,39,40,41.

Homework 6 Due Thursday March 1 in the beginning of the class.
Chapter VIII, Problems 2,3,4.

Homework 7 Due Tuesday March 6 in the beginning of the class.
Chapter VIII, Problems 5,7,8.

Homework 8 Due Tuesday March 27 in the beginning of the class.
Chapter VIII, Problems 9,13,14,15.

Homework 9 Due Thursday April 5 in the beginning of the class.
Chapter IX, Problems 1,2,8,9,10.